Chapter 10 Two-Dimensional Figures:
Chapter Essential Question:
How can you draw and Identify lines and angles, and how can you classify shapes?
Vocabulary:
clockwise, counterclockwise, angle, circle, ray, vertex, degree (o), acute angle, obtuse angle, right angle, straight angle, protractor, line, line segment, point, acute triangle, obtuse triangle, right triangle, polygon, triangle, Venn diagram, intersecting lines, parallel lines, perpendicular lines, parallelogram, rhombus, trapezoid, quadrilateral, lines of symmetry, hexagon, regular polygon, pattern, term
Mathematics Florida Standards (MAFS) Learning Goals
4.OA.3.5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.
4.MD.3.5 Recognize angles as geometric shapes that are formed whenever two rays share a common endpoint, and understand concepts of angle measurement.
a. An angle is measured with reference to a circle with its center at the common endpoint of two rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
4.MD.3.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
4.MD.3.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
4.G.1.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
4.G.1.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right
triangles.
4.G.1.3 Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure
can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. Operations and Algebraic Thinking
* Students will be able to generate and analyze patterns. Measurement and Data
* Students will be able to understand concepts of angle and measure angles. (Geometric measurement) Geometry
* Students will be able to identify lines and angles, and classify shapes by properties of their lines and angles. Standards for Mathematical Practice MP.2 Reason abstractly and quantitatively. MP.4 Model with mathematics.